Solve by Factoring 1/R=1/R+1/(R^2)

$\frac{1}{R} = \frac{1}{R} + \frac{1}{R^{2}}$

Step 1

Move all the expressions to the left side of the equation.

Subtract $\frac{1}{R}$ from both sides of the equation.

$\frac{1}{R} - \frac{1}{R} = \frac{1}{R^{2}}$

Subtract $\frac{1}{R^{2}}$ from both sides of the equation.

$\frac{1}{R} - \frac{1}{R} - \frac{1}{R^{2}} = 0$

Step 2

Simplify $\frac{1}{R} - \frac{1}{R} - \frac{1}{R^{2}}$ .

Subtract $\frac{1}{R}$ from $\frac{1}{R}$ .

$0 - \frac{1}{R^{2}} = 0$

Subtract $\frac{1}{R^{2}}$ from $0$ .

$- \frac{1}{R^{2}} = 0$

Step 3

Set the numerator equal to zero.

$1 = 0$

Step 4

Since $1 \neq 0$ , there are no solutions.

No solution